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Once you have shown that it slips, you know the frictional force from the kinetic coefficient.The equations give ##f = 300 N## and ##T = 400 N##. The maximum static frictional force is ##\mu_s n = \mu_s m g = 392.4 N## so it rolls without slipping.

I'm just wondering now what I'd have to do if the maximum was less than 300 N. The acceleration of the contact point of the yo-yo on the belt, relative to the wall, wouldn't equal the acceleration of the conveyor belt anymore. Can you still find the unknowns in that case?